DOUBLE POWER-LAW DEGREE DISTRIBUTION AND INFORMATIONAL ENTROPY IN URBAN ROAD NETWORKS-Reference-Cited by-同舟云学术

DOUBLE POWER-LAW DEGREE DISTRIBUTION AND INFORMATIONAL ENTROPY IN URBAN ROAD NETWORKS

Published:2011-01 Issue:01 Volume:22 Page:13-20
ISSN:0129-1831
Container-title:International Journal of Modern Physics C
language:en
Short-container-title:Int. J. Mod. Phys. C

Author:

JIANG JIAN¹²³,METZ FRÉDÉRIC²,BECK CHRISTOPHE²,LEFEVRE SÉBASTIEN²,CHEN JINCAN²⁴,WANG QIUPING A.²³,PEZERIL MICHEL³

Affiliation:

1. Complexity Science Center, Institute of Particle Physics, Hua-Zhong (Central China), Normal University, Wuhan 430079, China

2. Institut Supérieur des Matériaux et Mécaniques Avancés, 44, Avenue F. A. Bartholdi, 72000 Le Mans, France

3. LPEC, Faculté des Sciences et Techniques, Université du Maine, Ave. O. Messiaen, 72035 Le Mans, France

4. Department of Physics, Xiamen University, Xiamen 361005, China

Abstract

The double power-law function, p(x) ~ 1/(xb + cxd) where x is the degree of one node, and b, c, d are parameters, is used to fit the degree distribution of urban road network of Le Mans city in France. It is called "double power-law" since it behaves as two power laws respectively, in large and small degree region with a crossing in-between. The position of the crossing point is derived as a function of the three parameters. The probabilistic uncertainty of this law is studied with two possible information measures: a generalized measure called varentropy and the Shannon entropy formula.

Publisher

World Scientific Pub Co Pte Lt

Subject

Computational Theory and Mathematics,Computer Science Applications,General Physics and Astronomy,Mathematical Physics,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129183111016075

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1. Public transport networks: empirical analysis and modeling

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